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Simplifying 38 = 2x + 2(-4x + -5) Reorder the terms: 38 = 2x + 2(-5 + -4x) 38 = 2x + (-5 * 2 + -4x * 2) 38 = 2x + (-10 + -8x) Reorder the terms: 38 = -10 + 2x + -8x Combine like terms: 2x + -8x = -6x 38 = -10 + -6x Solving 38 = -10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 38 + 6x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 6x = -10 + 0 38 + 6x = -10 Add '-38' to each side of the equation. 38 + -38 + 6x = -10 + -38 Combine like terms: 38 + -38 = 0 0 + 6x = -10 + -38 6x = -10 + -38 Combine like terms: -10 + -38 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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